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Finding the Fourth Proportional to 118,471.82, 177,707.74 and 35,365.82

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Solution

The fourth proportional to 118,471.82, 177,707.74 and 35,365.82 is: 53,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,471.82 : 177,707.74 = 35,365.82 : x
  2. Step 2: Convert to fraction form
    118,471.82/177,707.74 = 35,365.82/x
  3. Step 3: Cross multiply
    118,471.82x = 177,707.74 × 35,365.82
  4. Step 4: Simplify right side
    118,471.82x = 6,284,779,945.45
  5. Step 5: Solve for x
    x = 6,284,779,945.45/118,471.82
  6. Step 6: Final answer
    x = 53,048.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.